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Finding the Fourth Proportional to 11,646, 17,462.26 and 7,952.70

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Solution

The fourth proportional to 11,646, 17,462.26 and 7,952.70 is: 11,924.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646 : 17,462.26 = 7,952.70 : x
  2. Step 2: Convert to fraction form
    11,646/17,462.26 = 7,952.70/x
  3. Step 3: Cross multiply
    11,646x = 17,462.26 × 7,952.70
  4. Step 4: Simplify right side
    11,646x = 138,872,115.10
  5. Step 5: Solve for x
    x = 138,872,115.10/11,646
  6. Step 6: Final answer
    x = 11,924.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.